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Finding the Fourth Proportional to 12,340.92, 18,513.54 and 4,549.80

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Solution

The fourth proportional to 12,340.92, 18,513.54 and 4,549.80 is: 6,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,340.92 : 18,513.54 = 4,549.80 : x
  2. Step 2: Convert to fraction form
    12,340.92/18,513.54 = 4,549.80/x
  3. Step 3: Cross multiply
    12,340.92x = 18,513.54 × 4,549.80
  4. Step 4: Simplify right side
    12,340.92x = 84,232,904.29
  5. Step 5: Solve for x
    x = 84,232,904.29/12,340.92
  6. Step 6: Final answer
    x = 6,825.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.